Gamma-convergence of nonlocal perimeter functionals
Luigi Ambrosio, Guido De Philippis, Luca Martinazzi
TL;DR
This paper proves that specific non-local functionals converge to the classical perimeter measure, providing a rigorous connection between non-local and local geometric measures.
Contribution
It establishes the Gamma-convergence of certain non-local perimeter functionals to the classical perimeter, bridging non-local and local geometric analysis.
Findings
Non-local functionals Gamma-converge to perimeter
Provides a rigorous mathematical link between non-local and local perimeters
Advances understanding of non-local geometric variational problems
Abstract
We prove that certain non-local functionals defined on measurable sets Gamma-converge to the perimeter in the sense of De Giorgi.
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